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Label Polynomial $p$ $e$ $f$ $c$ Galois group Slope content
2.6.0.1 x6 - x + 1 $2$ $1$ $6$ $0$ $C_6$ (as 6T1) $ [\ ]^{6}$
2.6.4.1 x6 + 3x5 + 6x4 + 3x3 + 9x + 9 $2$ $3$ $2$ $4$ $S_3$ (as 6T2) $ [\ ]_{3}^{2}$
2.6.4.2 x6 - 2x3 + 4 $2$ $3$ $2$ $4$ $S_3\times C_3$ (as 6T5) $ [\ ]_{3}^{6}$
2.6.6.1 x6 + x2 - 1 $2$ $2$ $3$ $6$ $A_4$ (as 6T4) $ [2, 2]^{3}$
2.6.6.2 x6 - x4 - 5 $2$ $2$ $3$ $6$ $A_4\times C_2$ (as 6T6) $ [2, 2]^{6}$
2.6.6.3 x6 + 2x4 + x2 - 7 $2$ $2$ $3$ $6$ $C_6$ (as 6T1) $ [2]^{3}$
2.6.6.4 x6 + x2 + 1 $2$ $2$ $3$ $6$ $A_4\times C_2$ (as 6T6) $ [2, 2, 2]^{3}$
2.6.6.5 x6 - 2x4 + x2 - 3 $2$ $2$ $3$ $6$ $C_6$ (as 6T1) $ [2]^{3}$
2.6.6.6 x6 - 13x4 + 7x2 - 3 $2$ $2$ $3$ $6$ $A_4\times C_2$ (as 6T6) $ [2, 2, 2]^{3}$
2.6.6.7 x6 + 2x2 + 2x + 2 $2$ $6$ $1$ $6$ $S_4$ (as 6T7) $ [4/3, 4/3]_{3}^{2}$
2.6.6.8 x6 + 2x + 2 $2$ $6$ $1$ $6$ $S_4$ (as 6T8) $ [4/3, 4/3]_{3}^{2}$
2.6.8.1 x6 + 2x3 + 2 $2$ $6$ $1$ $8$ $D_{6}$ (as 6T3) $ [2]_{3}^{2}$
2.6.8.2 x6 + 2x3 + 2x2 + 6 $2$ $6$ $1$ $8$ $S_4\times C_2$ (as 6T11) $ [4/3, 4/3, 2]_{3}^{2}$
2.6.8.3 x6 + 2x3 + 6 $2$ $6$ $1$ $8$ $D_{6}$ (as 6T3) $ [2]_{3}^{2}$
2.6.8.4 x6 + 2x3 + 2x2 + 2 $2$ $6$ $1$ $8$ $S_4\times C_2$ (as 6T11) $ [4/3, 4/3, 2]_{3}^{2}$
2.6.9.1 x6 + 4x4 + 4x2 - 8 $2$ $2$ $3$ $9$ $C_6$ (as 6T1) $ [3]^{3}$
2.6.9.2 x6 + 4x2 - 8 $2$ $2$ $3$ $9$ $A_4\times C_2$ (as 6T6) $ [2, 2, 3]^{3}$
2.6.9.3 x6 - 4x4 + 4x2 + 24 $2$ $2$ $3$ $9$ $C_6$ (as 6T1) $ [3]^{3}$
2.6.9.4 x6 + 4x2 + 24 $2$ $2$ $3$ $9$ $A_4\times C_2$ (as 6T6) $ [2, 2, 3]^{3}$
2.6.9.5 x6 - 4x4 + 4x2 + 8 $2$ $2$ $3$ $9$ $C_6$ (as 6T1) $ [3]^{3}$
2.6.9.6 x6 + 4x2 + 8 $2$ $2$ $3$ $9$ $A_4\times C_2$ (as 6T6) $ [2, 2, 3]^{3}$
2.6.9.7 x6 + 4x4 + 4x2 - 24 $2$ $2$ $3$ $9$ $C_6$ (as 6T1) $ [3]^{3}$
2.6.9.8 x6 + 4x2 - 24 $2$ $2$ $3$ $9$ $A_4\times C_2$ (as 6T6) $ [2, 2, 3]^{3}$
2.6.10.1 x6 + 2x5 + 2x4 + 2 $2$ $6$ $1$ $10$ $S_4$ (as 6T7) $ [8/3, 8/3]_{3}^{2}$
2.6.10.2 x6 + 2x5 + 2x4 + 2x2 + 2 $2$ $6$ $1$ $10$ $S_4$ (as 6T7) $ [8/3, 8/3]_{3}^{2}$
2.6.10.3 x6 + 2x5 + 4x + 2 $2$ $6$ $1$ $10$ $S_4$ (as 6T8) $ [8/3, 8/3]_{3}^{2}$
2.6.10.4 x6 + 2x5 + 2x4 + 6 $2$ $6$ $1$ $10$ $S_4$ (as 6T8) $ [8/3, 8/3]_{3}^{2}$
2.6.10.5 x6 + 2x5 + 6 $2$ $6$ $1$ $10$ $S_4\times C_2$ (as 6T11) $ [2, 8/3, 8/3]_{3}^{2}$
2.6.10.6 x6 + 2x5 + 4x3 + 6 $2$ $6$ $1$ $10$ $S_4\times C_2$ (as 6T11) $ [2, 8/3, 8/3]_{3}^{2}$
2.6.10.7 x6 + 2x5 + 4x3 + 2 $2$ $6$ $1$ $10$ $S_4\times C_2$ (as 6T11) $ [2, 8/3, 8/3]_{3}^{2}$
2.6.10.8 x6 + 2x5 + 2 $2$ $6$ $1$ $10$ $S_4\times C_2$ (as 6T11) $ [2, 8/3, 8/3]_{3}^{2}$
2.6.11.1 x6 + 14 $2$ $6$ $1$ $11$ $D_{6}$ (as 6T3) $ [3]_{3}^{2}$
2.6.11.10 x6 + 2x4 + 2 $2$ $6$ $1$ $11$ $S_4\times C_2$ (as 6T11) $ [4/3, 4/3, 3]_{3}^{2}$
2.6.11.11 x6 + 2x4 + 2x2 + 2 $2$ $6$ $1$ $11$ $S_4\times C_2$ (as 6T11) $ [8/3, 8/3, 3]_{3}^{2}$
2.6.11.12 x6 + 2x2 + 2 $2$ $6$ $1$ $11$ $S_4\times C_2$ (as 6T11) $ [8/3, 8/3, 3]_{3}^{2}$
2.6.11.13 x6 + 10 $2$ $6$ $1$ $11$ $D_{6}$ (as 6T3) $ [3]_{3}^{2}$
2.6.11.14 x6 + 2x4 + 10 $2$ $6$ $1$ $11$ $S_4\times C_2$ (as 6T11) $ [4/3, 4/3, 3]_{3}^{2}$
2.6.11.15 x6 + 2x4 + 2x2 + 10 $2$ $6$ $1$ $11$ $S_4\times C_2$ (as 6T11) $ [8/3, 8/3, 3]_{3}^{2}$
2.6.11.16 x6 + 2x2 + 10 $2$ $6$ $1$ $11$ $S_4\times C_2$ (as 6T11) $ [8/3, 8/3, 3]_{3}^{2}$
2.6.11.2 x6 + 6x4 + 14 $2$ $6$ $1$ $11$ $S_4\times C_2$ (as 6T11) $ [4/3, 4/3, 3]_{3}^{2}$
2.6.11.3 x6 + 2x2 + 14 $2$ $6$ $1$ $11$ $S_4\times C_2$ (as 6T11) $ [8/3, 8/3, 3]_{3}^{2}$
2.6.11.4 x6 + 6x4 + 4x2 + 4x + 14 $2$ $6$ $1$ $11$ $S_4\times C_2$ (as 6T11) $ [8/3, 8/3, 3]_{3}^{2}$
2.6.11.5 x6 + 6 $2$ $6$ $1$ $11$ $D_{6}$ (as 6T3) $ [3]_{3}^{2}$
2.6.11.6 x6 + 6x4 + 6 $2$ $6$ $1$ $11$ $S_4\times C_2$ (as 6T11) $ [4/3, 4/3, 3]_{3}^{2}$
2.6.11.7 x6 + 2x2 + 6 $2$ $6$ $1$ $11$ $S_4\times C_2$ (as 6T11) $ [8/3, 8/3, 3]_{3}^{2}$
2.6.11.8 x6 + 4x4 + 2x2 + 6 $2$ $6$ $1$ $11$ $S_4\times C_2$ (as 6T11) $ [8/3, 8/3, 3]_{3}^{2}$
2.6.11.9 x6 + 6x4 + 2 $2$ $6$ $1$ $11$ $D_{6}$ (as 6T3) $ [3]_{3}^{2}$
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